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Finding the Fourth Proportional to 11,798.45, 16,282.08 and 6,493.45

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Solution

The fourth proportional to 11,798.45, 16,282.08 and 6,493.45 is: 8,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.45 : 16,282.08 = 6,493.45 : x
  2. Step 2: Convert to fraction form
    11,798.45/16,282.08 = 6,493.45/x
  3. Step 3: Cross multiply
    11,798.45x = 16,282.08 × 6,493.45
  4. Step 4: Simplify right side
    11,798.45x = 105,726,872.38
  5. Step 5: Solve for x
    x = 105,726,872.38/11,798.45
  6. Step 6: Final answer
    x = 8,961.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.